DYNAMIC CRACK MODELS ON PROBLEM OF BRIDGING FIBER PULL-OUT OF COMPOSITE MATERIALS

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (10): 1194-1202.

• 论文 • 上一篇

DYNAMIC CRACK MODELS ON PROBLEM OF BRIDGING FIBER PULL-OUT OF COMPOSITE MATERIALS

吕念春^1,3,4, 程云虹², 胥红敏¹, 程靳¹, 唐立强⁴

1. Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P.R.China;
2. Department of Civil Engineering, Northeastern University, Shenyang 110006, P.R.China;
3. Department of Material Science and Engineering, Shenyang Institute of Technology, Shenyang 110168, P.R.China;
4. School of Architectural Engineering, Harbin Engineering University, Harbin 150001, P.R.China

收稿日期:2002-08-13 修回日期:2004-03-30 出版日期:2004-10-18 发布日期:2004-10-18
通讯作者: CHENG Jin(Tel:+86-451-86416375(o),+86-451-86414970;E-mail:hitwg@0451.com) E-mail:hitwg@0451.com

DYNAMIC CRACK MODELS ON PROBLEM OF BRIDGING FIBER PULL-OUT OF COMPOSITE MATERIALS

Lü Nian-chun^1,3,4, CHENG Yun-hong², XU Hong-min¹, CHENG Jin¹, TANG Li-qiang⁴

1. Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P.R.China;
2. Department of Civil Engineering, Northeastern University, Shenyang 110006, P.R.China;
3. Department of Material Science and Engineering, Shenyang Institute of Technology, Shenyang 110168, P.R.China;
4. School of Architectural Engineering, Harbin Engineering University, Harbin 150001, P.R.China

Received:2002-08-13 Revised:2004-03-30 Online:2004-10-18 Published:2004-10-18

摘要/Abstract

摘要： An elastic analysis of an internal central crack with bridging fibers parallel to the free surface in an infinite orthotropic anisotropic elastic plane was performed. A dynamic model of bridging fiber pull-out of composite materials was presented. Resultingly the fiber failure is governed by maximum tensile stress, the fiber breaks and hence the crack extension should occur in self-similar fashion. By the methods of complex functions, the problem studied can be transformed into the dynamic model to the Reimann-Hilbert mixed boundary value problem, and a straightforward and easy analytical solution is presented. Analytical study on the crack propagation subjected to a ladder load and an instantaneous pulse loading is obtained respectively for orthotropic anisotropic body.By utilizing the solution, the concrete solutions of this model are attained by ways of superposition.

关键词: bridging fiber pull-out, crack, dynamic model, analytical solution

Abstract: An elastic analysis of an internal central crack with bridging fibers parallel to the free surface in an infinite orthotropic anisotropic elastic plane was performed. A dynamic model of bridging fiber pull-out of composite materials was presented. Resultingly the fiber failure is governed by maximum tensile stress, the fiber breaks and hence the crack extension should occur in self-similar fashion. By the methods of complex functions, the problem studied can be transformed into the dynamic model to the Reimann-Hilbert mixed boundary value problem, and a straightforward and easy analytical solution is presented. Analytical study on the crack propagation subjected to a ladder load and an instantaneous pulse loading is obtained respectively for orthotropic anisotropic body.By utilizing the solution, the concrete solutions of this model are attained by ways of superposition.

Key words: bridging fiber pull-out, crack, dynamic model, analytical solution

中图分类号:

O346.1

吕念春;程云虹;胥红敏;程靳;唐立强. DYNAMIC CRACK MODELS ON PROBLEM OF BRIDGING FIBER PULL-OUT OF COMPOSITE MATERIALS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(10): 1194-1202.

L&#;Nian-chun;CHENG Yun-hong;XU Hong-min;CHENG Jin;TANG Li-qiang. DYNAMIC CRACK MODELS ON PROBLEM OF BRIDGING FIBER PULL-OUT OF COMPOSITE MATERIALS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(10): 1194-1202.

参考文献

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DYNAMIC CRACK MODELS ON PROBLEM OF BRIDGING FIBER PULL-OUT OF COMPOSITE MATERIALS

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